AbstractA topological group G is said to be almost maximally almost-periodic if its von Neumann radical n(G) is non-trivial, but finite. In this paper, we prove that every abelian group with an infinite torsion subgroup admits a (Hausdorff) almost maximally almost-periodic group topology. Some open problems are also formulated
As usual, ℤ and ℕ denote the integer and natural numbers respectively, we also let ℕ⁺ = ℕ {0}. Given...
AbstractAn abelian group G is almost A-solvable if the natural map θG:Hom(A,G)⊗E(A)A→G is a quasi-is...
AbstractWe continue the work initiated in our earlier article (J. Pure Appl. Algebra 70 (1991) 53–72...
AbstractA topological group G is said to be almost maximally almost-periodic if its von Neumann radi...
AbstractLet G be an Abelian group. We prove that a group G admits a Hausdorff group topology τ such ...
AbstractA sequence {an} in a group G is a T-sequence if there is a Hausdorff group topology τ on G s...
We introduce a categorical closure operator g in the category of topological abelian groups (and con...
AbstractWe introduce a categorical closure operator g in the category of topological abelian groups ...
A Hausdorff topological group G=(G,T) has the small subgroup generating property (briefly: has the S...
The almost periodic functions form a natural example of a non-separable normed space. As such, it ha...
Lenz D, Spindeler T, Strungaru N. Abstract almost periodicity for group actions on uniform topologic...
We introduce a categorical closure operator g in the category of topological abelian groups (and con...
We present a unified theory for the almost periodicity of functions with values in an arbitrary Bana...
We look at the Bohr topology of maximally almost periodic groups (MAP, for short). Among other resu...
We study the definition and properties of almost periodic functions on topological groups. We show t...
As usual, ℤ and ℕ denote the integer and natural numbers respectively, we also let ℕ⁺ = ℕ {0}. Given...
AbstractAn abelian group G is almost A-solvable if the natural map θG:Hom(A,G)⊗E(A)A→G is a quasi-is...
AbstractWe continue the work initiated in our earlier article (J. Pure Appl. Algebra 70 (1991) 53–72...
AbstractA topological group G is said to be almost maximally almost-periodic if its von Neumann radi...
AbstractLet G be an Abelian group. We prove that a group G admits a Hausdorff group topology τ such ...
AbstractA sequence {an} in a group G is a T-sequence if there is a Hausdorff group topology τ on G s...
We introduce a categorical closure operator g in the category of topological abelian groups (and con...
AbstractWe introduce a categorical closure operator g in the category of topological abelian groups ...
A Hausdorff topological group G=(G,T) has the small subgroup generating property (briefly: has the S...
The almost periodic functions form a natural example of a non-separable normed space. As such, it ha...
Lenz D, Spindeler T, Strungaru N. Abstract almost periodicity for group actions on uniform topologic...
We introduce a categorical closure operator g in the category of topological abelian groups (and con...
We present a unified theory for the almost periodicity of functions with values in an arbitrary Bana...
We look at the Bohr topology of maximally almost periodic groups (MAP, for short). Among other resu...
We study the definition and properties of almost periodic functions on topological groups. We show t...
As usual, ℤ and ℕ denote the integer and natural numbers respectively, we also let ℕ⁺ = ℕ {0}. Given...
AbstractAn abelian group G is almost A-solvable if the natural map θG:Hom(A,G)⊗E(A)A→G is a quasi-is...
AbstractWe continue the work initiated in our earlier article (J. Pure Appl. Algebra 70 (1991) 53–72...
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